1994, ISBN: 354057705X

[EAN: 9783540577058], Neubuch, [SC: 0.0], [PU: Springer Berlin Heidelberg], LOGARITHMICPOTENTIALS; PADEAPPROXIMATION; VARYINGWEIGHT; ORTHOGONALPOLYNOMIALS, Druck auf Anfrage Neuware - Pri… More...

[EAN: 9783540577058], Neubuch, [SC: 0.0], [PU: Springer Berlin Heidelberg], LOGARITHMICPOTENTIALS; PADEAPPROXIMATION; VARYINGWEIGHT; ORTHOGONALPOLYNOMIALS, Druck auf Anfrage Neuware - Printed after ordering - A new construction is given for approximating a logarithmicpotential by a discrete one. This yields a new approach toapproximation with weighted polynomials of the formw'n'(' '= uppercase)P'n'(' '= uppercase). The new techniquesettles several open problems, and it leads to a simpleproof for the strong asymptotics on some L p(uppercase)extremal problems on the real line with exponential weights,which, for the case p=2, are equivalent to power- typeasymptotics for the leading coefficients of thecorresponding orthogonal polynomials. The method is alsomodified toyield (in a sense) uniformly good approximationon the whole support. This allows one to deduce strongasymptotics in some L p(uppercase) extremal problems withvarying weights. Applications are given, relating to fastdecreasing polynomials, asymptotic behavior of orthogonalpolynomials and multipoint Pade approximation. The approachis potential-theoretic, but the text is self-contained., Books<

ISBN: 9783540577058

A new construction is given for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form w"n"(" "= upperc… More...

A new construction is given for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form w"n"(" "= uppercase)P"n"(" "= uppercase). The new technique settles several open problems, and it leads to a simple proof for the strong asymptotics on some L p(uppercase) extremal problems on the real line with exponential weights, which, for the case p=2, are equivalent to power- type asymptotics for the leading coefficients of the corresponding orthogonal polynomials. The method is also modified toyield (in a sense) uniformly good approximation on the whole support. This allows one to deduce strong asymptotics in some L p(uppercase) extremal problems with varying weights. Applications are given, relating to fast decreasing polynomials, asymptotic behavior of orthogonal polynomials and multipoint Pade approximation. The approach is potential-theoretic, but the text is self-contained., Springer<

2009, ISBN: 9783540577058

Springer, Taschenbuch, Auflage: 1994, 124 Seiten, Publiziert: 2009-02-22T00:00:01Z, Produktgruppe: Buch, 0.19 kg, Mathematik, Naturwissenschaften & Technik, Kategorien, Bücher, Taschenbüc… More...

Springer, Taschenbuch, Auflage: 1994, 124 Seiten, Publiziert: 2009-02-22T00:00:01Z, Produktgruppe: Buch, 0.19 kg, Mathematik, Naturwissenschaften & Technik, Kategorien, Bücher, Taschenbücher, Fremdsprachige Bücher, Englische Bücher, 7c9a6c79-19ea-4dea-90da-d7d47042d341_2301, 7c9a6c79-19ea-4dea-90da-d7d47042d341_0, Arborist Merchandising Root, Springer, 2009<